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Finding the Fourth Proportional to 476.78, 657.96 and 280.31

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Solution

The fourth proportional to 476.78, 657.96 and 280.31 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 657.96 = 280.31 : x
  2. Step 2: Convert to fraction form
    476.78/657.96 = 280.31/x
  3. Step 3: Cross multiply
    476.78x = 657.96 × 280.31
  4. Step 4: Simplify right side
    476.78x = 184,432.77
  5. Step 5: Solve for x
    x = 184,432.77/476.78
  6. Step 6: Final answer
    x = 386.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.